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Finding the Fourth Proportional to 10,653.35, 14,710.83 and 6,681.20

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Solution

The fourth proportional to 10,653.35, 14,710.83 and 6,681.20 is: 9,225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.35 : 14,710.83 = 6,681.20 : x
  2. Step 2: Convert to fraction form
    10,653.35/14,710.83 = 6,681.20/x
  3. Step 3: Cross multiply
    10,653.35x = 14,710.83 × 6,681.20
  4. Step 4: Simplify right side
    10,653.35x = 98,285,997.40
  5. Step 5: Solve for x
    x = 98,285,997.40/10,653.35
  6. Step 6: Final answer
    x = 9,225.83

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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.