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Finding the Fourth Proportional to 7,029.58, 9,700.77 and 4,045.36

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Solution

The fourth proportional to 7,029.58, 9,700.77 and 4,045.36 is: 5,582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.58 : 9,700.77 = 4,045.36 : x
  2. Step 2: Convert to fraction form
    7,029.58/9,700.77 = 4,045.36/x
  3. Step 3: Cross multiply
    7,029.58x = 9,700.77 × 4,045.36
  4. Step 4: Simplify right side
    7,029.58x = 39,243,106.93
  5. Step 5: Solve for x
    x = 39,243,106.93/7,029.58
  6. Step 6: Final answer
    x = 5,582.57

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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.