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Finding the Fourth Proportional to 10,497.90, 14,487.21 and 5,782.62

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Solution

The fourth proportional to 10,497.90, 14,487.21 and 5,782.62 is: 7,980.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.90 : 14,487.21 = 5,782.62 : x
  2. Step 2: Convert to fraction form
    10,497.90/14,487.21 = 5,782.62/x
  3. Step 3: Cross multiply
    10,497.90x = 14,487.21 × 5,782.62
  4. Step 4: Simplify right side
    10,497.90x = 83,774,030.29
  5. Step 5: Solve for x
    x = 83,774,030.29/10,497.90
  6. Step 6: Final answer
    x = 7,980.08

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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.