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Finding the Fourth Proportional to 10,552.34, 15,810.32 and 6,992.24

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Solution

The fourth proportional to 10,552.34, 15,810.32 and 6,992.24 is: 10,476.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.34 : 15,810.32 = 6,992.24 : x
  2. Step 2: Convert to fraction form
    10,552.34/15,810.32 = 6,992.24/x
  3. Step 3: Cross multiply
    10,552.34x = 15,810.32 × 6,992.24
  4. Step 4: Simplify right side
    10,552.34x = 110,549,551.92
  5. Step 5: Solve for x
    x = 110,549,551.92/10,552.34
  6. Step 6: Final answer
    x = 10,476.31

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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.