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Finding the Fourth Proportional to 7,032.61, 10,543.71 and 4,258.63

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Solution

The fourth proportional to 7,032.61, 10,543.71 and 4,258.63 is: 6,384.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.61 : 10,543.71 = 4,258.63 : x
  2. Step 2: Convert to fraction form
    7,032.61/10,543.71 = 4,258.63/x
  3. Step 3: Cross multiply
    7,032.61x = 10,543.71 × 4,258.63
  4. Step 4: Simplify right side
    7,032.61x = 44,901,733.36
  5. Step 5: Solve for x
    x = 44,901,733.36/7,032.61
  6. Step 6: Final answer
    x = 6,384.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.