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Finding the Fourth Proportional to 10,237.87, 14,129.62 and 5,762.50

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Solution

The fourth proportional to 10,237.87, 14,129.62 and 5,762.50 is: 7,953.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237.87 : 14,129.62 = 5,762.50 : x
  2. Step 2: Convert to fraction form
    10,237.87/14,129.62 = 5,762.50/x
  3. Step 3: Cross multiply
    10,237.87x = 14,129.62 × 5,762.50
  4. Step 4: Simplify right side
    10,237.87x = 81,421,864.60
  5. Step 5: Solve for x
    x = 81,421,864.60/10,237.87
  6. Step 6: Final answer
    x = 7,953.01

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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.