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Finding the Fourth Proportional to 10,499, 14,488.62 and 5,783.18

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Solution

The fourth proportional to 10,499, 14,488.62 and 5,783.18 is: 7,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499 : 14,488.62 = 5,783.18 : x
  2. Step 2: Convert to fraction form
    10,499/14,488.62 = 5,783.18/x
  3. Step 3: Cross multiply
    10,499x = 14,488.62 × 5,783.18
  4. Step 4: Simplify right side
    10,499x = 83,790,297.41
  5. Step 5: Solve for x
    x = 83,790,297.41/10,499
  6. Step 6: Final answer
    x = 7,980.79

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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.