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Finding the Fourth Proportional to 10,585.61, 14,610.05 and 6,108.74

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Solution

The fourth proportional to 10,585.61, 14,610.05 and 6,108.74 is: 8,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.61 : 14,610.05 = 6,108.74 : x
  2. Step 2: Convert to fraction form
    10,585.61/14,610.05 = 6,108.74/x
  3. Step 3: Cross multiply
    10,585.61x = 14,610.05 × 6,108.74
  4. Step 4: Simplify right side
    10,585.61x = 89,249,025.73
  5. Step 5: Solve for x
    x = 89,249,025.73/10,585.61
  6. Step 6: Final answer
    x = 8,431.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.