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Finding the Fourth Proportional to 6,710.94, 10,070.86 and 4,492.25

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Solution

The fourth proportional to 6,710.94, 10,070.86 and 4,492.25 is: 6,741.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.94 : 10,070.86 = 4,492.25 : x
  2. Step 2: Convert to fraction form
    6,710.94/10,070.86 = 4,492.25/x
  3. Step 3: Cross multiply
    6,710.94x = 10,070.86 × 4,492.25
  4. Step 4: Simplify right side
    6,710.94x = 45,240,820.84
  5. Step 5: Solve for x
    x = 45,240,820.84/6,710.94
  6. Step 6: Final answer
    x = 6,741.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.