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Finding the Fourth Proportional to 7,615.47, 10,509.59 and 4,258.43

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Solution

The fourth proportional to 7,615.47, 10,509.59 and 4,258.43 is: 5,876.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.47 : 10,509.59 = 4,258.43 : x
  2. Step 2: Convert to fraction form
    7,615.47/10,509.59 = 4,258.43/x
  3. Step 3: Cross multiply
    7,615.47x = 10,509.59 × 4,258.43
  4. Step 4: Simplify right side
    7,615.47x = 44,754,279.50
  5. Step 5: Solve for x
    x = 44,754,279.50/7,615.47
  6. Step 6: Final answer
    x = 5,876.76

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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.