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Finding the Fourth Proportional to 4,707.94, 7,030.10 and 4,093.06

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Solution

The fourth proportional to 4,707.94, 7,030.10 and 4,093.06 is: 6,111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.94 : 7,030.10 = 4,093.06 : x
  2. Step 2: Convert to fraction form
    4,707.94/7,030.10 = 4,093.06/x
  3. Step 3: Cross multiply
    4,707.94x = 7,030.10 × 4,093.06
  4. Step 4: Simplify right side
    4,707.94x = 28,774,621.11
  5. Step 5: Solve for x
    x = 28,774,621.11/4,707.94
  6. Step 6: Final answer
    x = 6,111.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.