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Finding the Fourth Proportional to 10,574.72, 15,877.62 and 10,388.08

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Solution

The fourth proportional to 10,574.72, 15,877.62 and 10,388.08 is: 15,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.72 : 15,877.62 = 10,388.08 : x
  2. Step 2: Convert to fraction form
    10,574.72/15,877.62 = 10,388.08/x
  3. Step 3: Cross multiply
    10,574.72x = 15,877.62 × 10,388.08
  4. Step 4: Simplify right side
    10,574.72x = 164,937,986.77
  5. Step 5: Solve for x
    x = 164,937,986.77/10,574.72
  6. Step 6: Final answer
    x = 15,597.39

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