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Finding the Fourth Proportional to 10,653.34, 14,702.70 and 6,405.78

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Solution

The fourth proportional to 10,653.34, 14,702.70 and 6,405.78 is: 8,840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.34 : 14,702.70 = 6,405.78 : x
  2. Step 2: Convert to fraction form
    10,653.34/14,702.70 = 6,405.78/x
  3. Step 3: Cross multiply
    10,653.34x = 14,702.70 × 6,405.78
  4. Step 4: Simplify right side
    10,653.34x = 94,182,261.61
  5. Step 5: Solve for x
    x = 94,182,261.61/10,653.34
  6. Step 6: Final answer
    x = 8,840.63

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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.