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Finding the Fourth Proportional to 15,762.78, 23,647.80 and 5,374.50

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Solution

The fourth proportional to 15,762.78, 23,647.80 and 5,374.50 is: 8,062.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.78 : 23,647.80 = 5,374.50 : x
  2. Step 2: Convert to fraction form
    15,762.78/23,647.80 = 5,374.50/x
  3. Step 3: Cross multiply
    15,762.78x = 23,647.80 × 5,374.50
  4. Step 4: Simplify right side
    15,762.78x = 127,095,101.10
  5. Step 5: Solve for x
    x = 127,095,101.10/15,762.78
  6. Step 6: Final answer
    x = 8,062.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.