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Finding the Fourth Proportional to 10,655.19, 14,703.86 and 6,678.50

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Solution

The fourth proportional to 10,655.19, 14,703.86 and 6,678.50 is: 9,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.19 : 14,703.86 = 6,678.50 : x
  2. Step 2: Convert to fraction form
    10,655.19/14,703.86 = 6,678.50/x
  3. Step 3: Cross multiply
    10,655.19x = 14,703.86 × 6,678.50
  4. Step 4: Simplify right side
    10,655.19x = 98,199,672.19
  5. Step 5: Solve for x
    x = 98,199,672.19/10,655.19
  6. Step 6: Final answer
    x = 9,216.14

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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.