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Finding the Fourth Proportional to 7,929.60, 10,946.40 and 5,702.40

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Solution

The fourth proportional to 7,929.60, 10,946.40 and 5,702.40 is: 7,871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,929.60 : 10,946.40 = 5,702.40 : x
  2. Step 2: Convert to fraction form
    7,929.60/10,946.40 = 5,702.40/x
  3. Step 3: Cross multiply
    7,929.60x = 10,946.40 × 5,702.40
  4. Step 4: Simplify right side
    7,929.60x = 62,420,751.36
  5. Step 5: Solve for x
    x = 62,420,751.36/7,929.60
  6. Step 6: Final answer
    x = 7,871.87

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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.