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Finding the Fourth Proportional to 10,483.84, 14,462.88 and 6,705.12

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Solution

The fourth proportional to 10,483.84, 14,462.88 and 6,705.12 is: 9,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.84 : 14,462.88 = 6,705.12 : x
  2. Step 2: Convert to fraction form
    10,483.84/14,462.88 = 6,705.12/x
  3. Step 3: Cross multiply
    10,483.84x = 14,462.88 × 6,705.12
  4. Step 4: Simplify right side
    10,483.84x = 96,975,345.95
  5. Step 5: Solve for x
    x = 96,975,345.95/10,483.84
  6. Step 6: Final answer
    x = 9,249.98

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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.