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Finding the Fourth Proportional to 10,782.69, 14,875.06 and 7,196.70

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Solution

The fourth proportional to 10,782.69, 14,875.06 and 7,196.70 is: 9,928.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.69 : 14,875.06 = 7,196.70 : x
  2. Step 2: Convert to fraction form
    10,782.69/14,875.06 = 7,196.70/x
  3. Step 3: Cross multiply
    10,782.69x = 14,875.06 × 7,196.70
  4. Step 4: Simplify right side
    10,782.69x = 107,051,311.91
  5. Step 5: Solve for x
    x = 107,051,311.91/10,782.69
  6. Step 6: Final answer
    x = 9,928.07

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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.