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Finding the Fourth Proportional to 10,416.60, 15,631.07 and 7,032.56

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Solution

The fourth proportional to 10,416.60, 15,631.07 and 7,032.56 is: 10,552.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.60 : 15,631.07 = 7,032.56 : x
  2. Step 2: Convert to fraction form
    10,416.60/15,631.07 = 7,032.56/x
  3. Step 3: Cross multiply
    10,416.60x = 15,631.07 × 7,032.56
  4. Step 4: Simplify right side
    10,416.60x = 109,926,324.32
  5. Step 5: Solve for x
    x = 109,926,324.32/10,416.60
  6. Step 6: Final answer
    x = 10,552.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.