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Finding the Fourth Proportional to 7,616.57, 10,510.76 and 4,259.35

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Solution

The fourth proportional to 7,616.57, 10,510.76 and 4,259.35 is: 5,877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.57 : 10,510.76 = 4,259.35 : x
  2. Step 2: Convert to fraction form
    7,616.57/10,510.76 = 4,259.35/x
  3. Step 3: Cross multiply
    7,616.57x = 10,510.76 × 4,259.35
  4. Step 4: Simplify right side
    7,616.57x = 44,769,024.61
  5. Step 5: Solve for x
    x = 44,769,024.61/7,616.57
  6. Step 6: Final answer
    x = 5,877.85

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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.