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Finding the Fourth Proportional to 10,500.40, 14,503.32 and 7,859.52

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Solution

The fourth proportional to 10,500.40, 14,503.32 and 7,859.52 is: 10,855.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.40 : 14,503.32 = 7,859.52 : x
  2. Step 2: Convert to fraction form
    10,500.40/14,503.32 = 7,859.52/x
  3. Step 3: Cross multiply
    10,500.40x = 14,503.32 × 7,859.52
  4. Step 4: Simplify right side
    10,500.40x = 113,989,133.61
  5. Step 5: Solve for x
    x = 113,989,133.61/10,500.40
  6. Step 6: Final answer
    x = 10,855.69

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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.