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Finding the Fourth Proportional to 10,347.59, 15,509.23 and 4,789.20

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Solution

The fourth proportional to 10,347.59, 15,509.23 and 4,789.20 is: 7,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.59 : 15,509.23 = 4,789.20 : x
  2. Step 2: Convert to fraction form
    10,347.59/15,509.23 = 4,789.20/x
  3. Step 3: Cross multiply
    10,347.59x = 15,509.23 × 4,789.20
  4. Step 4: Simplify right side
    10,347.59x = 74,276,752.14
  5. Step 5: Solve for x
    x = 74,276,752.14/10,347.59
  6. Step 6: Final answer
    x = 7,178.17

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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.