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Finding the Fourth Proportional to 10,578.53, 14,598.36 and 5,798.48

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Solution

The fourth proportional to 10,578.53, 14,598.36 and 5,798.48 is: 8,001.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.53 : 14,598.36 = 5,798.48 : x
  2. Step 2: Convert to fraction form
    10,578.53/14,598.36 = 5,798.48/x
  3. Step 3: Cross multiply
    10,578.53x = 14,598.36 × 5,798.48
  4. Step 4: Simplify right side
    10,578.53x = 84,648,225.50
  5. Step 5: Solve for x
    x = 84,648,225.50/10,578.53
  6. Step 6: Final answer
    x = 8,001.89

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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.