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Finding the Fourth Proportional to 10,575.84, 14,595.18 and 5,860.14

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Solution

The fourth proportional to 10,575.84, 14,595.18 and 5,860.14 is: 8,087.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.84 : 14,595.18 = 5,860.14 : x
  2. Step 2: Convert to fraction form
    10,575.84/14,595.18 = 5,860.14/x
  3. Step 3: Cross multiply
    10,575.84x = 14,595.18 × 5,860.14
  4. Step 4: Simplify right side
    10,575.84x = 85,529,798.13
  5. Step 5: Solve for x
    x = 85,529,798.13/10,575.84
  6. Step 6: Final answer
    x = 8,087.28

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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.