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Finding the Fourth Proportional to 10,783.34, 14,880.90 and 6,306.24

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Solution

The fourth proportional to 10,783.34, 14,880.90 and 6,306.24 is: 8,702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.34 : 14,880.90 = 6,306.24 : x
  2. Step 2: Convert to fraction form
    10,783.34/14,880.90 = 6,306.24/x
  3. Step 3: Cross multiply
    10,783.34x = 14,880.90 × 6,306.24
  4. Step 4: Simplify right side
    10,783.34x = 93,842,526.82
  5. Step 5: Solve for x
    x = 93,842,526.82/10,783.34
  6. Step 6: Final answer
    x = 8,702.55

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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.