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Finding the Fourth Proportional to 10,303.47, 15,456.42 and 7,722.81

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Solution

The fourth proportional to 10,303.47, 15,456.42 and 7,722.81 is: 11,585.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.47 : 15,456.42 = 7,722.81 : x
  2. Step 2: Convert to fraction form
    10,303.47/15,456.42 = 7,722.81/x
  3. Step 3: Cross multiply
    10,303.47x = 15,456.42 × 7,722.81
  4. Step 4: Simplify right side
    10,303.47x = 119,366,994.94
  5. Step 5: Solve for x
    x = 119,366,994.94/10,303.47
  6. Step 6: Final answer
    x = 11,585.13

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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.