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Finding the Fourth Proportional to 10,561.98, 14,582.43 and 7,337.82

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Solution

The fourth proportional to 10,561.98, 14,582.43 and 7,337.82 is: 10,130.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.98 : 14,582.43 = 7,337.82 : x
  2. Step 2: Convert to fraction form
    10,561.98/14,582.43 = 7,337.82/x
  3. Step 3: Cross multiply
    10,561.98x = 14,582.43 × 7,337.82
  4. Step 4: Simplify right side
    10,561.98x = 107,003,246.50
  5. Step 5: Solve for x
    x = 107,003,246.50/10,561.98
  6. Step 6: Final answer
    x = 10,130.98

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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.