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Finding the Fourth Proportional to 7,578.06, 10,457.10 and 4,595.54

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Solution

The fourth proportional to 7,578.06, 10,457.10 and 4,595.54 is: 6,341.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.06 : 10,457.10 = 4,595.54 : x
  2. Step 2: Convert to fraction form
    7,578.06/10,457.10 = 4,595.54/x
  3. Step 3: Cross multiply
    7,578.06x = 10,457.10 × 4,595.54
  4. Step 4: Simplify right side
    7,578.06x = 48,055,969.05
  5. Step 5: Solve for x
    x = 48,055,969.05/7,578.06
  6. Step 6: Final answer
    x = 6,341.46

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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.