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Finding the Fourth Proportional to 10,498.70, 14,488.23 and 5,718.63

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Solution

The fourth proportional to 10,498.70, 14,488.23 and 5,718.63 is: 7,891.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.70 : 14,488.23 = 5,718.63 : x
  2. Step 2: Convert to fraction form
    10,498.70/14,488.23 = 5,718.63/x
  3. Step 3: Cross multiply
    10,498.70x = 14,488.23 × 5,718.63
  4. Step 4: Simplify right side
    10,498.70x = 82,852,798.13
  5. Step 5: Solve for x
    x = 82,852,798.13/10,498.70
  6. Step 6: Final answer
    x = 7,891.72

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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.