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Finding the Fourth Proportional to 7,911.47, 10,916.55 and 4,374

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Solution

The fourth proportional to 7,911.47, 10,916.55 and 4,374 is: 6,035.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.47 : 10,916.55 = 4,374 : x
  2. Step 2: Convert to fraction form
    7,911.47/10,916.55 = 4,374/x
  3. Step 3: Cross multiply
    7,911.47x = 10,916.55 × 4,374
  4. Step 4: Simplify right side
    7,911.47x = 47,748,977.40
  5. Step 5: Solve for x
    x = 47,748,977.40/7,911.47
  6. Step 6: Final answer
    x = 6,035.41

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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.