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Finding the Fourth Proportional to 10,406.59, 15,585.05 and 6,010.72

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Solution

The fourth proportional to 10,406.59, 15,585.05 and 6,010.72 is: 9,001.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.59 : 15,585.05 = 6,010.72 : x
  2. Step 2: Convert to fraction form
    10,406.59/15,585.05 = 6,010.72/x
  3. Step 3: Cross multiply
    10,406.59x = 15,585.05 × 6,010.72
  4. Step 4: Simplify right side
    10,406.59x = 93,677,347.80
  5. Step 5: Solve for x
    x = 93,677,347.80/10,406.59
  6. Step 6: Final answer
    x = 9,001.74

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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.