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Finding the Fourth Proportional to 10,159.56, 15,228.54 and 4,313.16

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Solution

The fourth proportional to 10,159.56, 15,228.54 and 4,313.16 is: 6,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.56 : 15,228.54 = 4,313.16 : x
  2. Step 2: Convert to fraction form
    10,159.56/15,228.54 = 4,313.16/x
  3. Step 3: Cross multiply
    10,159.56x = 15,228.54 × 4,313.16
  4. Step 4: Simplify right side
    10,159.56x = 65,683,129.59
  5. Step 5: Solve for x
    x = 65,683,129.59/10,159.56
  6. Step 6: Final answer
    x = 6,465.15

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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.