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Finding the Fourth Proportional to 10,541.71, 14,554.29 and 6,568.66

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Solution

The fourth proportional to 10,541.71, 14,554.29 and 6,568.66 is: 9,068.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,541.71 : 14,554.29 = 6,568.66 : x
  2. Step 2: Convert to fraction form
    10,541.71/14,554.29 = 6,568.66/x
  3. Step 3: Cross multiply
    10,541.71x = 14,554.29 × 6,568.66
  4. Step 4: Simplify right side
    10,541.71x = 95,602,182.55
  5. Step 5: Solve for x
    x = 95,602,182.55/10,541.71
  6. Step 6: Final answer
    x = 9,068.94

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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.