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Finding the Fourth Proportional to 10,298.16, 15,447.54 and 7,132.50

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Solution

The fourth proportional to 10,298.16, 15,447.54 and 7,132.50 is: 10,698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.16 : 15,447.54 = 7,132.50 : x
  2. Step 2: Convert to fraction form
    10,298.16/15,447.54 = 7,132.50/x
  3. Step 3: Cross multiply
    10,298.16x = 15,447.54 × 7,132.50
  4. Step 4: Simplify right side
    10,298.16x = 110,179,579.05
  5. Step 5: Solve for x
    x = 110,179,579.05/10,298.16
  6. Step 6: Final answer
    x = 10,698.96

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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.