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Finding the Fourth Proportional to 7,814.07, 10,784.06 and 4,457.02

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Solution

The fourth proportional to 7,814.07, 10,784.06 and 4,457.02 is: 6,151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.07 : 10,784.06 = 4,457.02 : x
  2. Step 2: Convert to fraction form
    7,814.07/10,784.06 = 4,457.02/x
  3. Step 3: Cross multiply
    7,814.07x = 10,784.06 × 4,457.02
  4. Step 4: Simplify right side
    7,814.07x = 48,064,771.10
  5. Step 5: Solve for x
    x = 48,064,771.10/7,814.07
  6. Step 6: Final answer
    x = 6,151.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.