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Finding the Fourth Proportional to 10,521.64, 14,518.08 and 6,045.60

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Solution

The fourth proportional to 10,521.64, 14,518.08 and 6,045.60 is: 8,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.64 : 14,518.08 = 6,045.60 : x
  2. Step 2: Convert to fraction form
    10,521.64/14,518.08 = 6,045.60/x
  3. Step 3: Cross multiply
    10,521.64x = 14,518.08 × 6,045.60
  4. Step 4: Simplify right side
    10,521.64x = 87,770,504.45
  5. Step 5: Solve for x
    x = 87,770,504.45/10,521.64
  6. Step 6: Final answer
    x = 8,341.90

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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.