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Finding the Fourth Proportional to 7,585, 10,470.18 and 5,102.44

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Solution

The fourth proportional to 7,585, 10,470.18 and 5,102.44 is: 7,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585 : 10,470.18 = 5,102.44 : x
  2. Step 2: Convert to fraction form
    7,585/10,470.18 = 5,102.44/x
  3. Step 3: Cross multiply
    7,585x = 10,470.18 × 5,102.44
  4. Step 4: Simplify right side
    7,585x = 53,423,465.24
  5. Step 5: Solve for x
    x = 53,423,465.24/7,585
  6. Step 6: Final answer
    x = 7,043.30

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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.