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Finding the Fourth Proportional to 7,814.61, 10,784.45 and 4,457.97

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Solution

The fourth proportional to 7,814.61, 10,784.45 and 4,457.97 is: 6,152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.61 : 10,784.45 = 4,457.97 : x
  2. Step 2: Convert to fraction form
    7,814.61/10,784.45 = 4,457.97/x
  3. Step 3: Cross multiply
    7,814.61x = 10,784.45 × 4,457.97
  4. Step 4: Simplify right side
    7,814.61x = 48,076,754.57
  5. Step 5: Solve for x
    x = 48,076,754.57/7,814.61
  6. Step 6: Final answer
    x = 6,152.16

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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.