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Finding the Fourth Proportional to 10,552.16, 15,834 and 3,534.32

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Solution

The fourth proportional to 10,552.16, 15,834 and 3,534.32 is: 5,303.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.16 : 15,834 = 3,534.32 : x
  2. Step 2: Convert to fraction form
    10,552.16/15,834 = 3,534.32/x
  3. Step 3: Cross multiply
    10,552.16x = 15,834 × 3,534.32
  4. Step 4: Simplify right side
    10,552.16x = 55,962,343.71
  5. Step 5: Solve for x
    x = 55,962,343.71/10,552.16
  6. Step 6: Final answer
    x = 5,303.40

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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.