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Finding the Fourth Proportional to 7,758.16, 10,706.64 and 4,572.40

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Solution

The fourth proportional to 7,758.16, 10,706.64 and 4,572.40 is: 6,310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.16 : 10,706.64 = 4,572.40 : x
  2. Step 2: Convert to fraction form
    7,758.16/10,706.64 = 4,572.40/x
  3. Step 3: Cross multiply
    7,758.16x = 10,706.64 × 4,572.40
  4. Step 4: Simplify right side
    7,758.16x = 48,955,040.74
  5. Step 5: Solve for x
    x = 48,955,040.74/7,758.16
  6. Step 6: Final answer
    x = 6,310.14

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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.