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Finding the Fourth Proportional to 10,417.76, 14,376.85 and 5,702.04

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Solution

The fourth proportional to 10,417.76, 14,376.85 and 5,702.04 is: 7,869.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.76 : 14,376.85 = 5,702.04 : x
  2. Step 2: Convert to fraction form
    10,417.76/14,376.85 = 5,702.04/x
  3. Step 3: Cross multiply
    10,417.76x = 14,376.85 × 5,702.04
  4. Step 4: Simplify right side
    10,417.76x = 81,977,359.52
  5. Step 5: Solve for x
    x = 81,977,359.52/10,417.76
  6. Step 6: Final answer
    x = 7,869.00

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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.