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Finding the Fourth Proportional to 10,513.55, 14,509.73 and 7,856.34

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Solution

The fourth proportional to 10,513.55, 14,509.73 and 7,856.34 is: 10,842.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.55 : 14,509.73 = 7,856.34 : x
  2. Step 2: Convert to fraction form
    10,513.55/14,509.73 = 7,856.34/x
  3. Step 3: Cross multiply
    10,513.55x = 14,509.73 × 7,856.34
  4. Step 4: Simplify right side
    10,513.55x = 113,993,332.91
  5. Step 5: Solve for x
    x = 113,993,332.91/10,513.55
  6. Step 6: Final answer
    x = 10,842.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.