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Finding the Fourth Proportional to 10,957.40, 15,128.15 and 8,434.77

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Solution

The fourth proportional to 10,957.40, 15,128.15 and 8,434.77 is: 11,645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.40 : 15,128.15 = 8,434.77 : x
  2. Step 2: Convert to fraction form
    10,957.40/15,128.15 = 8,434.77/x
  3. Step 3: Cross multiply
    10,957.40x = 15,128.15 × 8,434.77
  4. Step 4: Simplify right side
    10,957.40x = 127,602,423.60
  5. Step 5: Solve for x
    x = 127,602,423.60/10,957.40
  6. Step 6: Final answer
    x = 11,645.32

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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.