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Finding the Fourth Proportional to 10,417.70, 14,376.66 and 5,702.06

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Solution

The fourth proportional to 10,417.70, 14,376.66 and 5,702.06 is: 7,868.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.70 : 14,376.66 = 5,702.06 : x
  2. Step 2: Convert to fraction form
    10,417.70/14,376.66 = 5,702.06/x
  3. Step 3: Cross multiply
    10,417.70x = 14,376.66 × 5,702.06
  4. Step 4: Simplify right side
    10,417.70x = 81,976,577.92
  5. Step 5: Solve for x
    x = 81,976,577.92/10,417.70
  6. Step 6: Final answer
    x = 7,868.97

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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.